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Finding the Third Proportional to 202,862 and 315,350

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Solution

The third proportional to 202,862 and 315,350 is: 490,213.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,862 : 315,350 = 315,350 : x
  2. Step 2: Convert to fraction form
    202,862/315,350 = 315,350/x
  3. Step 3: Cross multiply
    202,862x = 315,350 × 315,350
  4. Step 4: Simplify right side
    202,862x = 99,445,622,500
  5. Step 5: Solve for x
    x = 99,445,622,500/202,862
  6. Step 6: Final answer
    x = 490,213.16

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.